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Finding the Fourth Proportional to 122.81, 169.43 and 79.13

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Solution

The fourth proportional to 122.81, 169.43 and 79.13 is: 109.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.81 : 169.43 = 79.13 : x
  2. Step 2: Convert to fraction form
    122.81/169.43 = 79.13/x
  3. Step 3: Cross multiply
    122.81x = 169.43 × 79.13
  4. Step 4: Simplify right side
    122.81x = 13,405.75
  5. Step 5: Solve for x
    x = 13,405.75/122.81
  6. Step 6: Final answer
    x = 109.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.